diff --git a/Doc/library/signal.rst b/Doc/library/signal.rst
index 68a5d2c..f2a37cc 100644
--- a/Doc/library/signal.rst
+++ b/Doc/library/signal.rst
@@ -187,10 +187,9 @@
    Send the signal *signum* to the thread *thread_id*, another thread in the same
    process as the caller.  The signal is asynchronously directed to thread.
 
-   *thread_id* can be read from the :attr:`~threading.Thread.ident` attribute
-   of :attr:`threading.Thread`.  For example,
-   ``threading.current_thread().ident`` gives the identifier of the current
-   thread.
+   Use :func:`threading.get_ident()` or the :attr:`~threading.Thread.ident`
+   attribute of :attr:`threading.Thread` to get a 'thread identifier' for
+   *thread_id*.
 
    If *signum* is 0, then no signal is sent, but error checking is still
    performed; this can be used to check if a thread is still running.
diff --git a/Doc/library/threading.rst b/Doc/library/threading.rst
index df47045..504a2fb 100644
--- a/Doc/library/threading.rst
+++ b/Doc/library/threading.rst
@@ -48,6 +48,17 @@
    returned.
 
 
+.. function:: get_ident()
+
+   Return the 'thread identifier' of the current thread.  This is a nonzero
+   integer.  Its value has no direct meaning; it is intended as a magic cookie
+   to be used e.g. to index a dictionary of thread-specific data.  Thread
+   identifiers may be recycled when a thread exits and another thread is
+   created.
+
+   .. versionadded:: 3.3
+
+
 .. function:: enumerate()
 
    Return a list of all :class:`Thread` objects currently alive.  The list
@@ -332,10 +343,10 @@
    .. attribute:: ident
 
       The 'thread identifier' of this thread or ``None`` if the thread has not
-      been started.  This is a nonzero integer.  See the
-      :func:`thread.get_ident()` function.  Thread identifiers may be recycled
-      when a thread exits and another thread is created.  The identifier is
-      available even after the thread has exited.
+      been started.  This is a nonzero integer.  See the :func:`get_ident()`
+      function.  Thread identifiers may be recycled when a thread exits and
+      another thread is created.  The identifier is available even after the
+      thread has exited.
 
    .. method:: is_alive()